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Use the guidelines of this section to sketch the curve.$$y=\frac{\sin x}{2+\cos x}$$

$(0,0)(\pi, 0)$

Calculus 1 / AB

Chapter 4

APPLICATIONS OF DIFFERENTIATION

Section 4

Curve Sketching

Derivatives

Differentiation

Applications of the Derivative

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

07:31

Use the guidelines of this…

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similar to the previous problem. We're going to be looking at this graph. The only difference is Rather than one plus cushion access can be to post coast annex. And as we see that minor change in the value dramatically shifts the shape of the graph. So let's analyze this. We see that the domain is all real numbers. Um, we also see that there are no vertical ascent. Totes, no horizontal Assen totes. Uh mm hmm. The signed portion of the graph is odd. The coastline portion of the graph is even in terms of intervals of increase and decrease. If we Graph this right here, we see that the graph increases from negative to power 3-2 power three And then decreases from two power 3- four power 3. And it's going to continue this pattern as such. Well, if you look at the second derivative graph, we see that it's concave up from negative pi 20 And then concave down from 0 to Pi. Um, so it's going to keep changing in that way, going. Concave up to concave down with each interval of pie that it goes. And based on these properties, we can end up creating this final graph, which is a unique shape. But as you said, I was completely different from when we just had best from a previous problem.

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